MinT - Information on Result #2700675

Information on Result #2700675

Linear OOA(8¹⁴³, 402, F₈, 3, 47) (dual of [(402, 3), 1063, 48]-NRT-code), using 8¹ times duplication based on linear OOA(8¹⁴², 402, F₈, 3, 47) (dual of [(402, 3), 1064, 48]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(8³⁴, 48, F₈, 3, 23) (dual of [(48, 3), 110, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,120P) [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
    - a function field by SÃ©mirat [i]
2. linear OOA(8¹⁰⁸, 354, F₈, 3, 47) (dual of [(354, 3), 954, 48]-NRT-code), using
  - extracting embedded OOA [i] based on digital (61, 108, 354)-net over F₈, using
    - trace code for nets [i] based on digital (7, 54, 177)-net over F₆₄, using
      - net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.